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Finding the Third Proportional to 101.74 and 116.09

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Solution

The third proportional to 101.74 and 116.09 is: 132.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.74 : 116.09 = 116.09 : x
  2. Step 2: Convert to fraction form
    101.74/116.09 = 116.09/x
  3. Step 3: Cross multiply
    101.74x = 116.09 × 116.09
  4. Step 4: Simplify right side
    101.74x = 13,475.94
  5. Step 5: Solve for x
    x = 13,475.94/101.74
  6. Step 6: Final answer
    x = 132.45

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.